Let U = {a, b, c, d, e, f, g}, A = {a, C,f,g}, B = {f,g,b,d}
(a) (A U B)' = (A' n B')this is intersection
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Step-by-step explanation:
U = {a, b, c, d, e, f, g}, A = {a, C,f,g}, B = {f,g,b,d}
AUB= { a,b,c,d,f,g}
(AUB)'=U - AUB= {e}---------------(1)
Now A'= U-A={ b,d,e}
B'=U-B={a,c,e}
A' ∩ B'= { b,d,e} ∩ { a,c,e}= {e}---------(2)
From (1) and (2)
(AUB)' = A' ∩ B'
hence proved
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